In order to characterise the genuine three party distributive entanglement in three qubit pure states \(|\psi _{ABC}\rangle \) , one can use the 3-tangle, which is a polynomial invariant quantity under permutation of qubits, follows from the Coffman–Kundu–Wooter's inequality [1]} :
\(C_{A \mid B C}^{2}\ge C_{A \mid B}^{2}+C_{A \mid C}^{2}.\) 
